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IntegrationQuestion and Answers: Page 31

Question Number 185451 Answers: 0 Comments: 2

Question Number 185284 Answers: 1 Comments: 0

Question Number 185104 Answers: 2 Comments: 0

Question Number 185058 Answers: 1 Comments: 0

Question Number 184988 Answers: 1 Comments: 0

Question Number 184925 Answers: 1 Comments: 1

Question Number 184552 Answers: 2 Comments: 0

I_1 =∫_0 ^∞ (((√(x+(√(x^2 +1))))/( (√(x^2 +1))))−((√2)/( (√x))))dx=? I_2 =∫_0 ^∞ (((√(x^2 +1))/( (√(x+(√(x^2 +1))))))−((√x)/( (√2))))dx=?

$I_{1} = \underset{0}{\int^{\infty}} (\frac{\sqrt{x + \sqrt{x^{2} + 1}}}{\sqrt{x^{2} + 1}} - \frac{\sqrt{2}}{\sqrt{x}}) d x = ?$ $I_{2} = \underset{0}{\int^{\infty}} (\frac{\sqrt{x^{2} + 1}}{\sqrt{x + \sqrt{x^{2} + 1}}} - \frac{\sqrt{x}}{\sqrt{2}}) d x = ?$

Question Number 184523 Answers: 2 Comments: 0

Question Number 184514 Answers: 1 Comments: 0

Question Number 184331 Answers: 0 Comments: 0

Question Number 184136 Answers: 0 Comments: 0

∫_0 ^(2nπ) max(sin x, sin^(−1) (sin x)) dx =? [ n∈ I ]

$\underset{0}{\int^{2 n π}} m a x (\sin x, \sin^{- 1} (\sin x)) d x = ?$ $[n \in I]$

Question Number 184112 Answers: 1 Comments: 1

∫ (dx/((x−1)^(5/6) (x+2)^(7/6) )) =?

$\int \frac{d x}{{(x - 1)}^{5 / 6} {(x + 2)}^{7 / 6}} = ?$

Question Number 184061 Answers: 1 Comments: 0

∫((sin^(−1) (√x)−cos^(−1) (√x))/(sin^(−1) (√x)+cos^(−1) (√x)))dx=?

$\int \frac{{s i n}^{- 1} \sqrt{x} - {c o s}^{- 1} \sqrt{x}}{{s i n}^{- 1} \sqrt{x} + {c o s}^{- 1} \sqrt{x}} d x = ?$

Question Number 183977 Answers: 3 Comments: 0

∫_0 ^( ∞) (dx/(x^8 +x^4 +1)) =?

$\int_{0}^{\infty} \frac{d x}{x^{8} + x^{4} + 1} = ?$

Question Number 183976 Answers: 1 Comments: 0

∫ ((sin x−(√(1+sin x)))/(cos x−(√(1+cos x)))) dx =?

$\int \frac{\sin x - \sqrt{1 + \sin x}}{\cos x - \sqrt{1 + \cos x}} d x = ?$

Question Number 183879 Answers: 0 Comments: 0

Question Number 183865 Answers: 1 Comments: 0

Question Number 183845 Answers: 2 Comments: 0

Question Number 183844 Answers: 2 Comments: 0

Question Number 183806 Answers: 1 Comments: 0

∫ ((√(x+(√(x^2 +25))))/x) dx =?

$\int \frac{\sqrt{x + \sqrt{x^{2} + 25}}}{x} d x = ?$

Question Number 183761 Answers: 1 Comments: 0

Solve the differential equation for the function given by U(x,t). { (((∂U/∂t) = 2(∂^2 U/∂x^2 ) , 0 < x < π)),((U(0,t) = 0, U(π,t) = 0, t > 0)) :} U(x,0) = 25x

$Solve the differential equation for the function$ $given by U (x, t) .$ ${\begin{cases} \frac{\partial U}{\partial t} = 2 \frac{\partial^{2} U}{\partial x^{2}}, 0 < x < π \\ U (0, t) = 0, U (π, t) = 0, t > 0 \end{cases}$ $U (x, 0) = 25 x$

Question Number 183794 Answers: 0 Comments: 1

If ∫_0 ^π ((cos x)/((x+2)^2 )) dx= T then ∫_0 ^π ((sin 2x)/(x+1)) dx = ?

$I f \underset{0}{\int^{π}} \frac{\cos x}{{(x + 2)}^{2}} d x = T$ $t h e n \underset{0}{\int^{π}} \frac{\sin 2 x}{x + 1} d x = ?$

Question Number 183709 Answers: 0 Comments: 1

Question Number 183706 Answers: 1 Comments: 0

A=∫ ((1+cos^2 x)/(1+sin^4 x)) dx

$A = \int \frac{1 + \cos^{2} x}{1 + \sin^{4} x} d x$

Question Number 183559 Answers: 1 Comments: 0

∫_1 ^∞ (dx/(x^2 +(√x))) = ?

$\underset{1}{\int^{\infty}} \frac{d x}{x^{2} + \sqrt{x}} = ?$

Question Number 183531 Answers: 0 Comments: 0

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